Data Interpretation - Pie Charts - Discussion

The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie-chart and answers the question that follow.

Sources of funds to be arranged by NHAI for Phase II projects (in crores Rs.)


If the toll is to be collected through an outsourced agency by allowing a maximum 10% commission, how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs. 4910 crores?

[A]. Rs. 6213 crores
[B]. Rs. 5827 crores
[C]. Rs. 5401 crores
[D]. Rs. 5316 crores

Answer: Option C


Amount permitted = (Funds required from Toll for projects of Phase II) +
   (10% of these funds)
= Rs. 4910 crores + Rs. (10% of 4910) crores
= Rs. (4910 + 491) crores
= Rs. 5401 crores.

Swaroop said: (May 14, 2011)  
Excellent work.

Kikelomo Odimayo said: (Sep 25, 2011)  
I am slightly confused.

You say the outsourced agency collects 10% commission therefore leaving the project with 90% of the total funds collected.

Therefore if the project needs to be supported with 4910 crores, doesn't this imply that of the total funds collected 90% of it should go to the project therefore
so the 100% value should be 4910/.9 = 5455.55 crores.

Your answer of 5401 crores means that after 10% is collected, the remaining value is 4860.9.

I apologise if my answer is incorrect but based on the question this is the result I came too and hence why I'm deeply puzzled.


Preet said: (Sep 13, 2014)  
I have calculated the same way as @Kikelomo, can you please resolve the confusion?

Sathya Priya said: (Jun 19, 2015)  
How 4910 is added?

Sanchiox said: (Nov 18, 2015)  
If I understand well, It means there will be a 10% commission provision to keep the support at 4910. After the 10% is removed, the number must not reduce. 10% provision will mean adding 10% value to the existing value.

Ileri said: (Oct 4, 2017)  
Please, can someone explain it?

Vikesh said: (Jun 21, 2018)  
I am also getting 5455.55.

Agree @Kikelomo.

Twinkle Joshi said: (May 16, 2019)  
Why 4910 added, please elaborate.

Mona said: (Jan 18, 2020)  
How 4910 is added? please explain it.

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